Physically relevant soliton solutions of the resonant nonlinear Schrodinger (RNLS) equation with nontrivial boundary conditions, recently proposed for description of uniaxial waves in a cold collisionless plasma, are considered in the Hirota bilinear approach. By the Madelung representation, the model transformed to the reaction-diffusion analog of the NLS equation for which the bilinear repres...

Numerical experiments involving the interaction of two solitary waves of the ion acoustic plasma equations are described. An exact 2-soliton solution of the relevant KdV equation was fitted to the initial data, and good agreement was maintained throughout the entire interaction. The data demonstrates that the soliton interactions are virtually elastic. AMS (MOS) Subject Classifications: 35Q51, ...

Relativistic EM solitons are localized structures self-trapped by a locally modified plasma refractive index via relativistic electron mass increase and an electron density drop due to the ponderomotive force of an intense laser light [1]. A train of relativistic EM solitons is typically found to form behind the intense laser pulse front. Relativistic electromagnetic (EM) solitons in laser driv...

we consider a new type of integrable coupled nonlinear schrodinger (cnls)equations proposed by our self [submitted to phys. plasmas (2011)]. the explicitform of soliton solutions are derived using the hirota's bilinear method.we show that the parameters in the cnls equations only determine the regionsfor the existence of bright and dark soliton solutions. finally, throughthe linear stabili...

We investigate the dynamics of localized solutions of the relativistic cold-fluid plasma model in the small but finite amplitude limit, for slightly overcritical plasma density. Adopting a multiple scale analysis, we derive a perturbed nonlinear Schrödinger equation that describes the evolution of the envelope of circularly polarized electromagnetic field. Retaining terms up to fifth order in t...

The hot electron-positron unmagnetized plasma with small fraction of cold electron-ion plasma is investigated. The modulational interactions of the electromagnetic waves and the electron-sound waves are studied. The possibility of soliton formation is investigated.

We have studied the formation of relativistic solitary waves due to nonlinearinteraction of strong electromagnetic wave with the plasma wave. Here, our plasma isrelativistic both in temperature and in streaming speed. A set of equations consisting ofscalar and vector potentials together with a third order equation for the enthalpy inphoton gas plasma is obtained analytic...

The propagation dynamics of the nucleus-acoustic waves (NAW) in a quantum plasma composed nondegenerate inertial light nuclei, stationary heavy and ultra-relativistically degenerate electrons positrons has been theoretically investigated within framework Boussinesq equation, which is valid for bi-directional small but finite amplitude limit. N-soliton solution equation derived using Hirota's me...